1387324512 has 144 divisors (see below), whose sum is σ = 4576545792. Its totient is φ = 390424320.

The previous prime is 1387324487. The next prime is 1387324571. The reversal of 1387324512 is 2154237831.

1387324512 is a `hidden beast` number, since 138 + 7 + 3 + 2 + 4 + 512 = 666.

It is a tau number, because it is divible by the number of its divisors (144).

It is a hoax number, since the sum of its digits (36) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 129937 + ... + 140207.

It is an arithmetic number, because the mean of its divisors is an integer number (31781568).

Almost surely, 2^1387324512 is an apocalyptic number.

1387324512 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1387324512, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2288272896).

1387324512 is an abundant number, since it is smaller than the sum of its proper divisors (3189221280).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

1387324512 is a wasteful number, since it uses less digits than its factorization.

1387324512 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10361 (or 10350 counting only the distinct ones).

The product of its digits is 40320, while the sum is 36.

The square root of 1387324512 is about 37246.8053932146. The cubic root of 1387324512 is about 1115.3025279220.

The spelling of 1387324512 in words is "one billion, three hundred eighty-seven million, three hundred twenty-four thousand, five hundred twelve".